Cross-Axis Coupling Effects in Single-Axis Nuclear Magnetic Resonance Gyroscopes
Nuclear magnetic resonance gyroscopes (NMRGs) may be operated in an environment with violent vibration that usually contains both linear components and angular components. To analyze the influence of angular vibration on an NMRG, cross-axis coupling effects are studied. The cross-axis rotation rates...
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MDPI AG
2020-01-01
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author | Zhiguo Wang Yi Zhang Xiang Zhan Qiyuan Jiang Hui Luo |
author_facet | Zhiguo Wang Yi Zhang Xiang Zhan Qiyuan Jiang Hui Luo |
author_sort | Zhiguo Wang |
collection | DOAJ |
description | Nuclear magnetic resonance gyroscopes (NMRGs) may be operated in an environment with violent vibration that usually contains both linear components and angular components. To analyze the influence of angular vibration on an NMRG, cross-axis coupling effects are studied. The cross-axis rotation rates induce an equivalent magnetic field. Its influence can be described by the Bloch equations. The approximate frequency shift and amplitude of the spin oscillator with an equivalent magnetic field in the cross-axis were obtained, which was validated by numerical simulation. The findings show that the angular vibration component leads to a remarkable error for the NMRG. When the angular vibration frequency is near the Larmor frequency, the oscillation frequency of the spins may be locked to the angular vibration frequency, destroying the NMRG’s ability to measure rotation rates. The cross-axis coupling problem should be considered in the design of an NMRG and corresponding inertial navigation systems. |
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spelling | doaj.art-f99af19bce8b470e8c9b95184007466f2022-12-22T02:55:26ZengMDPI AGSensors1424-82202020-01-0120373410.3390/s20030734s20030734Cross-Axis Coupling Effects in Single-Axis Nuclear Magnetic Resonance GyroscopesZhiguo Wang0Yi Zhang1Xiang Zhan2Qiyuan Jiang3Hui Luo4College of Advanced Interdisciplinary Studies, and Interdisciplinary Center of Quantum Information, National University of Defense Technology, Changsha 410073, ChinaCollege of Advanced Interdisciplinary Studies, and Interdisciplinary Center of Quantum Information, National University of Defense Technology, Changsha 410073, ChinaCollege of Advanced Interdisciplinary Studies, and Interdisciplinary Center of Quantum Information, National University of Defense Technology, Changsha 410073, ChinaCollege of Advanced Interdisciplinary Studies, and Interdisciplinary Center of Quantum Information, National University of Defense Technology, Changsha 410073, ChinaCollege of Advanced Interdisciplinary Studies, and Interdisciplinary Center of Quantum Information, National University of Defense Technology, Changsha 410073, ChinaNuclear magnetic resonance gyroscopes (NMRGs) may be operated in an environment with violent vibration that usually contains both linear components and angular components. To analyze the influence of angular vibration on an NMRG, cross-axis coupling effects are studied. The cross-axis rotation rates induce an equivalent magnetic field. Its influence can be described by the Bloch equations. The approximate frequency shift and amplitude of the spin oscillator with an equivalent magnetic field in the cross-axis were obtained, which was validated by numerical simulation. The findings show that the angular vibration component leads to a remarkable error for the NMRG. When the angular vibration frequency is near the Larmor frequency, the oscillation frequency of the spins may be locked to the angular vibration frequency, destroying the NMRG’s ability to measure rotation rates. The cross-axis coupling problem should be considered in the design of an NMRG and corresponding inertial navigation systems.https://www.mdpi.com/1424-8220/20/3/734nuclear magnetic resonance gyroscopecross-axis couplingmagnetic fieldrotation ratefrequency shift |
spellingShingle | Zhiguo Wang Yi Zhang Xiang Zhan Qiyuan Jiang Hui Luo Cross-Axis Coupling Effects in Single-Axis Nuclear Magnetic Resonance Gyroscopes Sensors nuclear magnetic resonance gyroscope cross-axis coupling magnetic field rotation rate frequency shift |
title | Cross-Axis Coupling Effects in Single-Axis Nuclear Magnetic Resonance Gyroscopes |
title_full | Cross-Axis Coupling Effects in Single-Axis Nuclear Magnetic Resonance Gyroscopes |
title_fullStr | Cross-Axis Coupling Effects in Single-Axis Nuclear Magnetic Resonance Gyroscopes |
title_full_unstemmed | Cross-Axis Coupling Effects in Single-Axis Nuclear Magnetic Resonance Gyroscopes |
title_short | Cross-Axis Coupling Effects in Single-Axis Nuclear Magnetic Resonance Gyroscopes |
title_sort | cross axis coupling effects in single axis nuclear magnetic resonance gyroscopes |
topic | nuclear magnetic resonance gyroscope cross-axis coupling magnetic field rotation rate frequency shift |
url | https://www.mdpi.com/1424-8220/20/3/734 |
work_keys_str_mv | AT zhiguowang crossaxiscouplingeffectsinsingleaxisnuclearmagneticresonancegyroscopes AT yizhang crossaxiscouplingeffectsinsingleaxisnuclearmagneticresonancegyroscopes AT xiangzhan crossaxiscouplingeffectsinsingleaxisnuclearmagneticresonancegyroscopes AT qiyuanjiang crossaxiscouplingeffectsinsingleaxisnuclearmagneticresonancegyroscopes AT huiluo crossaxiscouplingeffectsinsingleaxisnuclearmagneticresonancegyroscopes |